Foreword |
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xvii | |
Preface |
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xxiii | |
Acknowledgments |
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xxix | |
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PART I BACKGROUND AND CONCEPTS |
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3 | (18) |
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1.1 The Study of Populations by Capture-Recapture |
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4 | (1) |
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1.2 Lions and Tigers and Bears, oh my: Genesis of Spatial Capture-Recapture Data |
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5 | (3) |
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5 | (1) |
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6 | (1) |
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7 | (1) |
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1.2.4 Search-encounter methods |
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7 | (1) |
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1.3 Capture-Recapture for Modeling Encounter Probability |
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8 | (4) |
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1.3.1 Example: Fort Drum bear study |
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8 | (3) |
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1.3.2 Inadequacy of non-spatial capture-recapture |
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11 | (1) |
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1.4 Historical Context: A Brief Synopsis |
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12 | (2) |
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12 | (1) |
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1.4.2 Temporary emigration |
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13 | (1) |
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1.5 Extension of Closed Population Models |
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14 | (3) |
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1.5.1 Toward spatial explicitness: Efford's formulation |
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15 | (1) |
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1.5.2 Abundance as the aggregation of a point process |
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15 | (1) |
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1.5.3 The activity center concept |
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16 | (1) |
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16 | (1) |
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1.5.5 Abundance and density |
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17 | (1) |
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1.6 Ecological Focus of SCR Models |
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17 | (1) |
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18 | (3) |
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Chapter 2 Statistical Models and SCR |
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21 | (26) |
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2.1 Random Variables and Probability Distributions |
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22 | (5) |
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2.1.1 Stochasticity in ecology |
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22 | (2) |
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2.1.2 Properties of probability distributions |
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24 | (3) |
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2.2 Common Probability Distributions |
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27 | (7) |
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2.2.1 The binomial distribution |
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27 | (2) |
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2.2.2 The Bernoulli distribution |
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29 | (1) |
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2.2.3 The multinomial and categorical distributions |
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30 | (1) |
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2.2.4 The Poisson distribution |
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31 | (1) |
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2.2.5 The uniform distribution |
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32 | (1) |
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2.2.6 Other distributions |
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33 | (1) |
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2.3 Statistical Inference and Parameter Estimation |
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34 | (3) |
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2.4 Joint, Marginal, and Conditional Distributions |
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37 | (3) |
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2.5 Hierarchical Models and Inference |
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40 | (1) |
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2.6 Characterization of SCR Models |
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41 | (4) |
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45 | (2) |
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Chapter 3 GLMs and Bayesian Analysis |
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47 | (40) |
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48 | (2) |
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50 | (6) |
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50 | (1) |
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3.2.2 Principles of Bayesian inference |
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51 | (2) |
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3.2.3 Prior distributions |
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53 | (1) |
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3.2.4 Posterior inference |
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54 | (1) |
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3.2.5 Small sample inference |
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55 | (1) |
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3.3 Characterizing Posterior Distributions by MCMC Simulation |
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56 | (4) |
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3.3.1 What goes on under the MCMC hood |
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57 | (2) |
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3.3.2 Rules for constructing full conditional distributions |
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59 | (1) |
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3.3.3 Metropolis-Hastings algorithm |
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59 | (1) |
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3.4 Bayesian Analysis Using the BUGS Language |
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60 | (3) |
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3.4.1 Linear regression in WinBUGS |
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61 | (2) |
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3.5 Practical Bayesian Analysis and MCMC |
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63 | (6) |
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3.5.1 Choice of prior distributions |
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63 | (2) |
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3.5.2 Convergence and so forth |
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65 | (3) |
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3.5.3 Bayesian confidence intervals |
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68 | (1) |
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3.5.4 Estimating functions of parameters |
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68 | (1) |
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69 | (6) |
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3.6.1 North American breeding bird survey data |
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69 | (2) |
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3.6.2 Poisson GLM in WinBUGS |
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71 | (1) |
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3.6.3 Constructing your own MCMC algorithm |
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72 | (3) |
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3.7 Poisson GLM with Random Effects |
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75 | (2) |
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77 | (3) |
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3.8.1 Binomial regression |
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78 | (1) |
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3.8.2 North American waterfowl banding data |
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79 | (1) |
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3.9 Bayesian Model Checking and Selection |
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80 | (4) |
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81 | (2) |
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83 | (1) |
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84 | (3) |
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Chapter 4 Closed Population Models |
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87 | (38) |
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4.1 The Simplest Closed Population Model: Model M0 |
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88 | (4) |
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4.1.1 The core capture-recapture assumptions |
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90 | (1) |
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4.1.2 Conditional likelihood |
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91 | (1) |
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92 | (9) |
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4.2.1 DA links occupancy models and closed population models |
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93 | (2) |
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95 | (2) |
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4.2.3 Remarks on data augmentation |
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97 | (1) |
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4.2.4 Example: Black bear study on Fort Drum |
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98 | (3) |
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4.3 Temporally Varying and Behavioral Effects |
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101 | (1) |
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4.4 Models with Individual Heterogeneity |
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102 | (6) |
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4.4.1 Analysis of model Mh |
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104 | (1) |
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4.4.2 Analysis of the Fort Drum data with model Mh |
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105 | (2) |
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4.4.3 Comparison with MLE |
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107 | (1) |
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4.5 Individual Covariate Models: Toward Spatial Capture-Recapture |
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108 | (8) |
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4.5.1 Example: Location of capture as a covariate |
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109 | (1) |
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4.5.2 Example: Fort Drum black bear study |
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110 | (2) |
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4.5.3 Extension of the model |
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112 | (3) |
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4.5.4 Invariance of density to B |
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115 | (1) |
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4.5.5 Toward fully spatial capture-recapture models |
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115 | (1) |
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4.6 Distance Sampling: A Primitive SCR Model |
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116 | (4) |
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4.6.1 Example: Sonoran desert tortoise study |
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118 | (2) |
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120 | (5) |
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Chapter 5 Fully Spatial Capture-Recapture Models |
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125 | (46) |
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5.1 Sampling Design and Data Structure |
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126 | (1) |
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5.2 The Binomial Observation Model |
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126 | (3) |
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5.2.1 Definition of home range center |
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129 | (1) |
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5.2.2 Distance as a latent variable |
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129 | (1) |
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5.3 The Binomial Point Process Model |
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129 | (5) |
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5.3.1 The state-space of the point process |
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131 | (2) |
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5.3.2 Connection to model Mh and distance sampling |
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133 | (1) |
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5.4 The Implied Model of Space Usage |
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134 | (5) |
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5.4.1 Bivariate normal case |
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136 | (1) |
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5.4.2 Calculating space usage |
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136 | (2) |
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5.4.3 Relevance of understanding space usage |
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138 | (1) |
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5.4.4 Contamination due to behavioral response |
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138 | (1) |
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139 | (2) |
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5.5.1 Formatting and manipulating data sets |
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140 | (1) |
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5.6 Fitting Model SCRO in BUGS |
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141 | (2) |
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143 | (7) |
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5.7.1 Analysis using data augmentation in WinBUGS |
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145 | (2) |
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5.7.2 Implied home range area |
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147 | (1) |
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5.7.3 Realized and expected population size |
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148 | (2) |
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5.8 The Core SCR Assumptions |
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150 | (1) |
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5.9 Wolverine Camera Trapping Study |
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151 | (7) |
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5.9.1 Practical data organization |
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151 | (3) |
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5.9.2 Fitting the model in WinBUGS |
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154 | (2) |
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5.9.3 Summary of the wolverine analysis |
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156 | (1) |
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5.9.4 Wolverine space usage |
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157 | (1) |
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5.10 Using a Discrete Habitat Mask |
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158 | (4) |
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5.10.1 Evaluation of coarseness of habitat mask |
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159 | (2) |
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5.10.2 Analysis of the wolverine camera trapping data |
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161 | (1) |
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5.11 Summarizing Density and Activity Center Locations |
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162 | (5) |
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5.11.1 Constructing density maps |
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162 | (2) |
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5.11.2 Wolverine density map |
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164 | (2) |
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5.11.3 Predicting where an individual lives |
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166 | (1) |
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5.12 Effective Sample Area |
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167 | (2) |
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169 | (2) |
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Chapter 6 Likelihood Analysis of Spatial Capture-Recapture Models |
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171 | (26) |
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171 | (6) |
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6.1.1 Implementation (simulated data) |
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173 | (4) |
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6.2 MLE When N is Unknown |
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177 | (4) |
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6.2.1 Integrated likelihood under data augmentation |
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180 | (1) |
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180 | (1) |
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6.3 Classical Model Selection and Assessment |
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181 | (1) |
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6.4 Likelihood Analysis of the Wolverine Camera Trapping Data |
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182 | (4) |
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6.4.1 Sensitivity to integration grid and state-space buffer |
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183 | (1) |
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6.4.2 Using a habitat mask (restricted state-space) |
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184 | (2) |
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6.5 DENSITY and the R Package secr |
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186 | (10) |
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6.5.1 Encounter device types and detection models |
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188 | (1) |
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6.5.2 Analysis using the secr package |
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189 | (2) |
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6.5.3 Likelihood analysis in the secr package |
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191 | (2) |
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6.5.4 Multi-session models in secr |
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193 | (1) |
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6.5.5 Some additional capabilities of secr |
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194 | (2) |
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196 | (1) |
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Chapter 7 Modeling Variation in Encounter Probability |
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197 | (22) |
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7.1 Encounter Probability Models |
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198 | (5) |
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7.1.1 Bayesian analysis with bear.JAGS |
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200 | (1) |
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7.1.2 Bayesian analysis of encounter probability models |
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200 | (3) |
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7.2 Modeling Covariate Effects |
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203 | (8) |
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204 | (2) |
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7.2.2 Trap-specific covariates |
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206 | (1) |
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7.2.3 Behavior or trap response by individual |
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207 | (1) |
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7.2.4 Individual covariates |
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208 | (3) |
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7.3 Individual Heterogeneity |
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211 | (2) |
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7.3.1 Models of heterogeneity |
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212 | (1) |
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7.3.2 Heterogeneity induced by variation in home range size |
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212 | (1) |
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7.4 Likelihood Analysis in secr |
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213 | (4) |
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7.4.1 Notes for fitting standard models |
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214 | (1) |
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215 | (1) |
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7.4.3 Individual heterogeneity |
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216 | (1) |
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7.4.4 Model selection in secr using AIC |
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216 | (1) |
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217 | (2) |
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Chapter 8 Model Selection and Assessment |
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219 | (26) |
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8.1 Model Selection by AIC |
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220 | (4) |
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8.1.1 AIC analysis of the wolverine data |
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220 | (4) |
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8.2 Bayesian Model Selection |
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224 | (8) |
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8.2.1 Model selection by DIC |
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225 | (1) |
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8.2.2 DIC analysis of the wolverine data |
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225 | (2) |
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8.2.3 Bayesian model-averaging with indicator variables |
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227 | (4) |
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8.2.4 Choosing among detection functions |
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231 | (1) |
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8.3 Evaluating Goodness-of-Fit |
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232 | (1) |
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8.4 The Two Components of Model Fit |
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233 | (8) |
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8.4.1 Testing uniformity or spatial randomness |
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234 | (3) |
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8.4.2 Assessing fit of the observation model |
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237 | (1) |
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8.4.3 Does the SCR model fit the wolverine data? |
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238 | (3) |
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8.5 Quantifying Lack-of-Fit and Remediation |
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241 | (1) |
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242 | (3) |
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Chapter 9 Alternative Observation Models |
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245 | (32) |
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9.1 Poisson Observation Model |
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245 | (9) |
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9.1.1 Poisson model of space usage |
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247 | (1) |
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9.1.2 Poisson relationship to the Bernoulli model |
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248 | (1) |
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9.1.3 A cautionary note on modeling encounter frequencies |
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249 | (1) |
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9.1.4 Analysis of the Poisson SCR model in BUGS |
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250 | (1) |
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9.1.5 Simulating data and fitting the model |
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251 | (2) |
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9.1.6 Analysis of the wolverine study data |
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253 | (1) |
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9.1.7 Count detector models in the secr package |
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253 | (1) |
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9.2 Independent Multinomial Observations |
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254 | (12) |
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9.2.1 Multinomial resource selection models |
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256 | (1) |
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9.2.2 Simulating data and analysis using JAGS |
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256 | (3) |
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9.2.3 Multinomial relationship to the Poisson |
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259 | (1) |
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9.2.4 Avian mist-netting example |
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260 | (6) |
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266 | (4) |
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9.3.1 Inference for single-catch systems |
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267 | (1) |
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9.3.2 Analysis of Efford's possum trapping data |
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268 | (2) |
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270 | (4) |
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9.4.1 The signal strength model |
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272 | (1) |
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9.4.2 Implementation in secr |
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273 | (1) |
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9.4.3 Implementation in BUGS |
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273 | (1) |
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9.4.4 Other types of acoustic data |
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274 | (1) |
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274 | (3) |
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Chapter 10 Sampling Design |
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277 | (30) |
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10.1 General Considerations |
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278 | (3) |
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10.1.1 Model-based not design-based |
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278 | (1) |
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10.1.2 Sampling space or sampling individuals? |
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279 | (1) |
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10.1.3 Focal population vs. state-space |
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280 | (1) |
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10.2 Study Design for (Spatial) Capture-Recapture |
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281 | (2) |
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10.3 Trap Spacing and Array Size Relative to Animal Movement |
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283 | (4) |
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10.3.1 Black bears from Pictured Rocks National Lakeshore |
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286 | (1) |
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10.4 Sampling Over Large Areas |
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287 | (2) |
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10.5 Model-Based Spatial Design |
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289 | (10) |
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10.5.1 Statement of the design problem |
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290 | (2) |
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10.5.2 Model-based design for SCR |
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292 | (1) |
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10.5.3 An optimal design criterion for SCR |
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293 | (1) |
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10.5.4 Too much math for a Sunday afternoon |
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294 | (2) |
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10.5.5 Optimization of the criterion |
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296 | (2) |
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298 | (1) |
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10.5.7 Density covariate models |
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299 | (1) |
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10.6 Temporal Aspects of Study Design |
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299 | (3) |
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10.6.1 Total sampling duration and population closure |
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300 | (1) |
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10.6.2 Diagnosing and dealing with lack of closure |
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301 | (1) |
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302 | (5) |
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PART III ADVANCED SCR MODELS |
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Chapter 11 Modeling Spatial Variation in Density |
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307 | (22) |
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11.1 Homogeneous Point Process Revisited |
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308 | (3) |
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11.2 Inhomogeneous Point Processes |
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311 | (3) |
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11.3 Observed Point Processes |
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314 | (4) |
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11.4 Fitting Inhomogeneous Point Process SCR Models |
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318 | (4) |
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318 | (2) |
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320 | (2) |
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11.5 Argentina Jaguar Study |
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322 | (4) |
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326 | (3) |
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Chapter 12 Modeling Landscape Connectivity |
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329 | (20) |
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12.1 Shortcomings of Euclidean Distance Models |
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330 | (1) |
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12.2 Least-cost Path Distance |
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331 | (4) |
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12.2.1 Example of computing cost-weighted distance |
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333 | (2) |
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12.3 Simulating SCR Data Using Ecological Distance |
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335 | (3) |
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12.4 Likelihood Analysis of Ecological Distance Models |
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338 | (1) |
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12.4.1 Example of SCR with least-cost path |
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338 | (1) |
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339 | (1) |
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12.6 Simulation Evaluation of the MLE |
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339 | (2) |
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12.7 Distance in an Irregular Patch |
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341 | (4) |
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12.7.1 Basic geographic analysis in R |
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341 | (4) |
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12.8 Ecological Distance and Density Covariates |
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345 | (1) |
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345 | (4) |
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Chapter 13 Integrating Resource Selection with Spatial Capture-Recapture Models |
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349 | (16) |
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13.1 A Model of Space Usage |
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350 | (4) |
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13.1.1 A simulated example |
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352 | (1) |
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13.1.2 Poisson model of space use |
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353 | (1) |
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13.2 Integrating Capture-Recapture Data |
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354 | (1) |
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13.3 SW New York Black Bear Study |
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355 | (4) |
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359 | (2) |
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13.5 Relevance and Relaxation of Assumptions |
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361 | (1) |
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362 | (3) |
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Chapter 14 Stratified Populations: Multi-Session and Multi-Site Data |
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365 | (16) |
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14.1 Stratified Data Structure |
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366 | (1) |
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14.2 Multinomial Abundance Models |
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367 | (5) |
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14.2.1 Implementation in BUGS |
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368 | (1) |
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14.2.2 Groups with no individuals observed |
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369 | (1) |
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14.2.3 The group-means model |
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370 | (1) |
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14.2.4 Simulating stratified capture-recapture data |
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371 | (1) |
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14.3 Other Approaches to Multi-Session Models |
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372 | (1) |
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14.4 Application to Spatial Capture-Recapture |
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372 | (5) |
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14.4.1 Multinomial ("multi-catch") observations |
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373 | (1) |
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14.4.2 Reanalysis of the ovenbird data |
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374 | (3) |
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14.5 Spatial or Temporal Dependence |
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377 | (1) |
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378 | (3) |
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Chapter 15 Models for Search-Encounter Data |
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381 | (20) |
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15.1 Search-Encounter Designs |
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382 | (1) |
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15.1.1 Design 1: Fixed search path |
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382 | (1) |
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15.1.2 Design 2: Uniform search intensity |
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383 | (1) |
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15.2 A Model for Fixed Search Path Data |
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383 | (7) |
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15.2.1 Modeling total hazard to encounter |
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384 | (2) |
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15.2.2 Modeling movement outcomes |
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386 | (1) |
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15.2.3 Simulation and analysis in JAGS |
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386 | (3) |
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15.2.4 Hard plot boundaries |
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389 | (1) |
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15.2.5 Analysis of other protocols |
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390 | (1) |
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15.3 Unstructured Spatial Surveys |
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390 | (2) |
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15.3.1 Mountain lions in Montana |
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391 | (1) |
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15.3.2 Sierra National Forest fisher study |
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392 | (1) |
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15.4 Design 2: Uniform Search Intensity |
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392 | (6) |
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15.4.1 Alternative movement models |
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394 | (1) |
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15.4.2 Simulating and fitting uniform search models |
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395 | (2) |
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15.4.3 Movement and dispersal in open populations |
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397 | (1) |
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15.5 Partial Information Designs |
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398 | (1) |
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398 | (3) |
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Chapter 16 Open Population Models |
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401 | (32) |
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402 | (2) |
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16.1.1 Brief overview of population dynamics |
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402 | (1) |
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16.1.2 Animal movement related to population demography |
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403 | (1) |
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|
404 | (11) |
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16.2.1 Traditional Jolly-Seber models |
|
|
404 | (3) |
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16.2.2 Data augmentation for the Jolly-Seber model |
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|
407 | (4) |
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16.2.3 Spatial Jolly-Seber models |
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|
411 | (4) |
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16.3 Cormack-Jolly-Seber Models |
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|
415 | (11) |
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16.3.1 Traditional CJS models |
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|
415 | (3) |
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16.3.2 Multi-state CJS models |
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|
418 | (4) |
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16.3.3 Spatial CJS models |
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|
422 | (4) |
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16.4 Modeling Movement and Dispersal Dynamics |
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|
426 | (3) |
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|
427 | (1) |
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16.4.2 Thoughts on movement of American shad |
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|
427 | (1) |
|
16.4.3 Modeling dispersal |
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|
428 | (1) |
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|
429 | (4) |
|
PART IV SUPER-ADVANCED SCR MODELS |
|
|
|
Chapter 17 Developing Markov Chain Monte Carlo Samplers |
|
|
433 | (40) |
|
17.1 Why Build Your Own MCMC Algorithm? |
|
|
433 | (1) |
|
17.2 MCMC and Posterior Distributions |
|
|
434 | (2) |
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17.3 Types of MCMC Sampling |
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|
436 | (13) |
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|
436 | (5) |
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17.3.2 Metropolis-Hastings sampling |
|
|
441 | (3) |
|
17.3.3 Metropolis-within-Gibbs |
|
|
444 | (4) |
|
17.3.4 Rejection sampling and slice sampling |
|
|
448 | (1) |
|
17.4 MCMC for Closed Capture-Recapture Model Mh |
|
|
449 | (3) |
|
17.5 MCMC Algorithm for Model SCRO |
|
|
452 | (4) |
|
17.5.1 SCR model with binomial encounter process |
|
|
455 | (1) |
|
17.6 Looking at Model Output |
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|
456 | (6) |
|
17.6.1 Markov chain time series plots |
|
|
457 | (1) |
|
17.6.2 Posterior density plots |
|
|
457 | (1) |
|
17.6.3 Serial autocorrelation and effective sample size |
|
|
458 | (2) |
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|
460 | (1) |
|
17.6.5 Other useful commands |
|
|
461 | (1) |
|
17.7 Manipulating the State-Space |
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|
462 | (3) |
|
17.8 Increasing Computational Speed |
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|
465 | (6) |
|
17.8.1 Parallel computing |
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|
465 | (3) |
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|
468 | (3) |
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|
471 | (2) |
|
Chapter 18 Unmarked Populations |
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|
473 | (24) |
|
18.1 Existing Models for Inference About Density in Unmarked Populations |
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|
474 | (2) |
|
18.2 Spatial Correlation in Count Data |
|
|
476 | (2) |
|
18.2.1 Spatial correlation as information |
|
|
476 | (1) |
|
18.2.2 Types of spatial correlation |
|
|
477 | (1) |
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|
478 | (3) |
|
|
478 | (1) |
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|
478 | (2) |
|
18.3.3 On N being unknown |
|
|
480 | (1) |
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|
481 | (1) |
|
18.4 How Much Correlation is Enough? |
|
|
481 | (1) |
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|
482 | (7) |
|
18.5.1 Simulation example |
|
|
482 | (6) |
|
18.5.2 Northern parula in Maryland |
|
|
488 | (1) |
|
18.6 Extensions of the Spatial Count Model |
|
|
489 | (5) |
|
18.6.1 Improving precision |
|
|
489 | (2) |
|
18.6.2 Dusky salamanders in Maryland |
|
|
491 | (3) |
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|
494 | (3) |
|
Chapter 19 Spatial Mark-Resight Models |
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|
497 | (30) |
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|
499 | (5) |
|
19.1.1 Resighting techniques |
|
|
499 | (1) |
|
19.1.2 Types of mark-resighting data |
|
|
499 | (1) |
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19.1.3 A short history of mark-resight models |
|
|
500 | (2) |
|
19.1.4 The random sample assumption |
|
|
502 | (2) |
|
19.2 Known Number of Marked Individuals |
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|
504 | (4) |
|
19.2.1 Implementing spatial mark-resight models |
|
|
505 | (3) |
|
19.3 Unknown Number of Marked Individuals |
|
|
508 | (4) |
|
19.3.1 Canada geese in North Carolina |
|
|
509 | (3) |
|
19.4 Imperfect Identification of Marked Individuals |
|
|
512 | (2) |
|
19.5 How Much Information Do Marked and Unmarked Individuals Contribute? |
|
|
514 | (2) |
|
19.6 Incorporating Telemetry Data |
|
|
516 | (5) |
|
19.6.1 Raccoons on the Outer Banks of North Carolina |
|
|
519 | (2) |
|
19.7 Point Process Models for Marked Individuals |
|
|
521 | (3) |
|
19.7.1 Homogeneous point process in a subset of S |
|
|
521 | (2) |
|
19.7.2 Inhomogeneous point processes |
|
|
523 | (1) |
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|
524 | (3) |
|
Chapter 20 2012: A Spatial Capture-Recapture Odyssey |
|
|
527 | (12) |
|
|
530 | (5) |
|
20.1.1 Modeling territoriality |
|
|
531 | (1) |
|
20.1.2 Combining data from different surveys |
|
|
531 | (1) |
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|
532 | (1) |
|
20.1.4 Gregarious species |
|
|
533 | (1) |
|
20.1.5 Single-catch traps |
|
|
534 | (1) |
|
20.1.6 Model fit and selection |
|
|
534 | (1) |
|
20.1.7 Explicit movement models |
|
|
534 | (1) |
|
|
535 | (4) |
|
|
|
Appendix 1 Useful Softwares and R Packages |
|
|
539 | (1) |
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|
539 | (1) |
|
|
539 | (1) |
|
|
540 | (1) |
|
20.4.1 OpenBUGS through R |
|
|
540 | (1) |
|
|
541 | (1) |
|
|
541 | (1) |
|
|
542 | (3) |
|
|
542 | (3) |
Bibliography |
|
545 | (24) |
Index |
|
569 | |